MIME-Version: 1.0
Content-Type: multipart/related; boundary="----=_NextPart_01CA6391.C02CF520"

This document is a Single File Web Page, also known as a Web Archive file.  If you are seeing this message, your browser or editor doesn't support Web Archive files.  Please download a browser that supports Web Archive, such as Windows® Internet Explorer®.

------=_NextPart_01CA6391.C02CF520
Content-Location: file:///C:/D9286902/Fall09.Phys1112.Quiz5.SolutionWeb.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:w=3D"urn:schemas-microsoft-com:office:word"
xmlns:m=3D"http://schemas.microsoft.com/office/2004/12/omml"
xmlns:st1=3D"urn:schemas-microsoft-com:office:smarttags"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DWord.Document>
<meta name=3DGenerator content=3D"Microsoft Word 12">
<meta name=3DOriginator content=3D"Microsoft Word 12">
<link rel=3DFile-List href=3D"Fall09.Phys1112.Quiz5.SolutionWeb_files/filel=
ist.xml">
<link rel=3DEdit-Time-Data
href=3D"Fall09.Phys1112.Quiz5.SolutionWeb_files/editdata.mso">
<link rel=3DOLE-Object-Data
href=3D"Fall09.Phys1112.Quiz5.SolutionWeb_files/oledata.mso">
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
</style>
<![endif]-->
<title>Department of Natural Sciences</title>
<o:SmartTagType namespaceuri=3D"urn:schemas-microsoft-com:office:smarttags"
 name=3D"place"/>
<o:SmartTagType namespaceuri=3D"urn:schemas-microsoft-com:office:smarttags"
 name=3D"PlaceType"/>
<o:SmartTagType namespaceuri=3D"urn:schemas-microsoft-com:office:smarttags"
 name=3D"PlaceName"/>
<!--[if gte mso 9]><xml>
 <o:DocumentProperties>
  <o:Author>Tatiana Krivosheev</o:Author>
  <o:Template>Normal</o:Template>
  <o:LastAuthor>tkrivosh</o:LastAuthor>
  <o:Revision>4</o:Revision>
  <o:TotalTime>5</o:TotalTime>
  <o:LastPrinted>2006-01-19T13:57:00Z</o:LastPrinted>
  <o:Created>2009-10-30T02:12:00Z</o:Created>
  <o:LastSaved>2009-11-12T17:14:00Z</o:LastSaved>
  <o:Pages>1</o:Pages>
  <o:Words>111</o:Words>
  <o:Characters>634</o:Characters>
  <o:Company>ccsu</o:Company>
  <o:Lines>5</o:Lines>
  <o:Paragraphs>1</o:Paragraphs>
  <o:CharactersWithSpaces>744</o:CharactersWithSpaces>
  <o:Version>12.00</o:Version>
 </o:DocumentProperties>
</xml><![endif]-->
<link rel=3DthemeData
href=3D"Fall09.Phys1112.Quiz5.SolutionWeb_files/themedata.thmx">
<link rel=3DcolorSchemeMapping
href=3D"Fall09.Phys1112.Quiz5.SolutionWeb_files/colorschememapping.xml">
<!--[if gte mso 9]><xml>
 <w:WordDocument>
  <w:Zoom>BestFit</w:Zoom>
  <w:TrackMoves>false</w:TrackMoves>
  <w:TrackFormatting/>
  <w:ValidateAgainstSchemas/>
  <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
  <w:IgnoreMixedContent>false</w:IgnoreMixedContent>
  <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
  <w:DoNotPromoteQF/>
  <w:LidThemeOther>EN-US</w:LidThemeOther>
  <w:LidThemeAsian>X-NONE</w:LidThemeAsian>
  <w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
  <w:Compatibility>
   <w:BreakWrappedTables/>
   <w:SnapToGridInCell/>
   <w:WrapTextWithPunct/>
   <w:UseAsianBreakRules/>
   <w:DontGrowAutofit/>
   <w:SplitPgBreakAndParaMark/>
   <w:DontVertAlignCellWithSp/>
   <w:DontBreakConstrainedForcedTables/>
   <w:DontVertAlignInTxbx/>
   <w:Word11KerningPairs/>
   <w:CachedColBalance/>
  </w:Compatibility>
  <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel>
  <m:mathPr>
   <m:mathFont m:val=3D"Cambria Math"/>
   <m:brkBin m:val=3D"before"/>
   <m:brkBinSub m:val=3D"&#45;-"/>
   <m:smallFrac m:val=3D"off"/>
   <m:dispDef/>
   <m:lMargin m:val=3D"0"/>
   <m:rMargin m:val=3D"0"/>
   <m:defJc m:val=3D"centerGroup"/>
   <m:wrapIndent m:val=3D"1440"/>
   <m:intLim m:val=3D"subSup"/>
   <m:naryLim m:val=3D"undOvr"/>
  </m:mathPr></w:WordDocument>
</xml><![endif]--><!--[if gte mso 9]><xml>
 <w:LatentStyles DefLockedState=3D"false" DefUnhideWhenUsed=3D"false"
  DefSemiHidden=3D"false" DefQFormat=3D"false" LatentStyleCount=3D"267">
  <w:LsdException Locked=3D"false" QFormat=3D"true" Name=3D"Normal"/>
  <w:LsdException Locked=3D"false" QFormat=3D"true" Name=3D"heading 1"/>
  <w:LsdException Locked=3D"false" SemiHidden=3D"true" UnhideWhenUsed=3D"tr=
ue"
   QFormat=3D"true" Name=3D"heading 2"/>
  <w:LsdException Locked=3D"false" SemiHidden=3D"true" UnhideWhenUsed=3D"tr=
ue"
   QFormat=3D"true" Name=3D"heading 3"/>
  <w:LsdException Locked=3D"false" SemiHidden=3D"true" UnhideWhenUsed=3D"tr=
ue"
   QFormat=3D"true" Name=3D"heading 4"/>
  <w:LsdException Locked=3D"false" SemiHidden=3D"true" UnhideWhenUsed=3D"tr=
ue"
   QFormat=3D"true" Name=3D"heading 5"/>
  <w:LsdException Locked=3D"false" SemiHidden=3D"true" UnhideWhenUsed=3D"tr=
ue"
   QFormat=3D"true" Name=3D"heading 6"/>
  <w:LsdException Locked=3D"false" SemiHidden=3D"true" UnhideWhenUsed=3D"tr=
ue"
   QFormat=3D"true" Name=3D"heading 7"/>
  <w:LsdException Locked=3D"false" SemiHidden=3D"true" UnhideWhenUsed=3D"tr=
ue"
   QFormat=3D"true" Name=3D"heading 8"/>
  <w:LsdException Locked=3D"false" SemiHidden=3D"true" UnhideWhenUsed=3D"tr=
ue"
   QFormat=3D"true" Name=3D"heading 9"/>
  <w:LsdException Locked=3D"false" SemiHidden=3D"true" UnhideWhenUsed=3D"tr=
ue"
   QFormat=3D"true" Name=3D"caption"/>
  <w:LsdException Locked=3D"false" QFormat=3D"true" Name=3D"Title"/>
  <w:LsdException Locked=3D"false" Priority=3D"1" Name=3D"Default Paragraph=
 Font"/>
  <w:LsdException Locked=3D"false" QFormat=3D"true" Name=3D"Subtitle"/>
  <w:LsdException Locked=3D"false" QFormat=3D"true" Name=3D"Strong"/>
  <w:LsdException Locked=3D"false" QFormat=3D"true" Name=3D"Emphasis"/>
  <w:LsdException Locked=3D"false" Priority=3D"99" Name=3D"No List"/>
  <w:LsdException Locked=3D"false" Priority=3D"99" SemiHidden=3D"true"
   Name=3D"Placeholder Text"/>
  <w:LsdException Locked=3D"false" Priority=3D"1" QFormat=3D"true" Name=3D"=
No Spacing"/>
  <w:LsdException Locked=3D"false" Priority=3D"60" Name=3D"Light Shading"/>
  <w:LsdException Locked=3D"false" Priority=3D"61" Name=3D"Light List"/>
  <w:LsdException Locked=3D"false" Priority=3D"62" Name=3D"Light Grid"/>
  <w:LsdException Locked=3D"false" Priority=3D"63" Name=3D"Medium Shading 1=
"/>
  <w:LsdException Locked=3D"false" Priority=3D"64" Name=3D"Medium Shading 2=
"/>
  <w:LsdException Locked=3D"false" Priority=3D"65" Name=3D"Medium List 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"66" Name=3D"Medium List 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"67" Name=3D"Medium Grid 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"68" Name=3D"Medium Grid 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"69" Name=3D"Medium Grid 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"70" Name=3D"Dark List"/>
  <w:LsdException Locked=3D"false" Priority=3D"71" Name=3D"Colorful Shading=
"/>
  <w:LsdException Locked=3D"false" Priority=3D"72" Name=3D"Colorful List"/>
  <w:LsdException Locked=3D"false" Priority=3D"73" Name=3D"Colorful Grid"/>
  <w:LsdException Locked=3D"false" Priority=3D"60" Name=3D"Light Shading Ac=
cent 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"61" Name=3D"Light List Accen=
t 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"62" Name=3D"Light Grid Accen=
t 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"63" Name=3D"Medium Shading 1=
 Accent 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"64" Name=3D"Medium Shading 2=
 Accent 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"65" Name=3D"Medium List 1 Ac=
cent 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"99" SemiHidden=3D"true" Name=
=3D"Revision"/>
  <w:LsdException Locked=3D"false" Priority=3D"34" QFormat=3D"true"
   Name=3D"List Paragraph"/>
  <w:LsdException Locked=3D"false" Priority=3D"29" QFormat=3D"true" Name=3D=
"Quote"/>
  <w:LsdException Locked=3D"false" Priority=3D"30" QFormat=3D"true"
   Name=3D"Intense Quote"/>
  <w:LsdException Locked=3D"false" Priority=3D"66" Name=3D"Medium List 2 Ac=
cent 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"67" Name=3D"Medium Grid 1 Ac=
cent 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"68" Name=3D"Medium Grid 2 Ac=
cent 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"69" Name=3D"Medium Grid 3 Ac=
cent 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"70" Name=3D"Dark List Accent=
 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"71" Name=3D"Colorful Shading=
 Accent 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"72" Name=3D"Colorful List Ac=
cent 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"73" Name=3D"Colorful Grid Ac=
cent 1"/>
  <w:LsdException Locked=3D"false" Priority=3D"60" Name=3D"Light Shading Ac=
cent 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"61" Name=3D"Light List Accen=
t 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"62" Name=3D"Light Grid Accen=
t 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"63" Name=3D"Medium Shading 1=
 Accent 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"64" Name=3D"Medium Shading 2=
 Accent 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"65" Name=3D"Medium List 1 Ac=
cent 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"66" Name=3D"Medium List 2 Ac=
cent 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"67" Name=3D"Medium Grid 1 Ac=
cent 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"68" Name=3D"Medium Grid 2 Ac=
cent 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"69" Name=3D"Medium Grid 3 Ac=
cent 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"70" Name=3D"Dark List Accent=
 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"71" Name=3D"Colorful Shading=
 Accent 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"72" Name=3D"Colorful List Ac=
cent 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"73" Name=3D"Colorful Grid Ac=
cent 2"/>
  <w:LsdException Locked=3D"false" Priority=3D"60" Name=3D"Light Shading Ac=
cent 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"61" Name=3D"Light List Accen=
t 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"62" Name=3D"Light Grid Accen=
t 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"63" Name=3D"Medium Shading 1=
 Accent 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"64" Name=3D"Medium Shading 2=
 Accent 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"65" Name=3D"Medium List 1 Ac=
cent 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"66" Name=3D"Medium List 2 Ac=
cent 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"67" Name=3D"Medium Grid 1 Ac=
cent 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"68" Name=3D"Medium Grid 2 Ac=
cent 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"69" Name=3D"Medium Grid 3 Ac=
cent 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"70" Name=3D"Dark List Accent=
 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"71" Name=3D"Colorful Shading=
 Accent 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"72" Name=3D"Colorful List Ac=
cent 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"73" Name=3D"Colorful Grid Ac=
cent 3"/>
  <w:LsdException Locked=3D"false" Priority=3D"60" Name=3D"Light Shading Ac=
cent 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"61" Name=3D"Light List Accen=
t 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"62" Name=3D"Light Grid Accen=
t 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"63" Name=3D"Medium Shading 1=
 Accent 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"64" Name=3D"Medium Shading 2=
 Accent 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"65" Name=3D"Medium List 1 Ac=
cent 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"66" Name=3D"Medium List 2 Ac=
cent 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"67" Name=3D"Medium Grid 1 Ac=
cent 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"68" Name=3D"Medium Grid 2 Ac=
cent 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"69" Name=3D"Medium Grid 3 Ac=
cent 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"70" Name=3D"Dark List Accent=
 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"71" Name=3D"Colorful Shading=
 Accent 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"72" Name=3D"Colorful List Ac=
cent 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"73" Name=3D"Colorful Grid Ac=
cent 4"/>
  <w:LsdException Locked=3D"false" Priority=3D"60" Name=3D"Light Shading Ac=
cent 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"61" Name=3D"Light List Accen=
t 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"62" Name=3D"Light Grid Accen=
t 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"63" Name=3D"Medium Shading 1=
 Accent 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"64" Name=3D"Medium Shading 2=
 Accent 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"65" Name=3D"Medium List 1 Ac=
cent 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"66" Name=3D"Medium List 2 Ac=
cent 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"67" Name=3D"Medium Grid 1 Ac=
cent 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"68" Name=3D"Medium Grid 2 Ac=
cent 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"69" Name=3D"Medium Grid 3 Ac=
cent 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"70" Name=3D"Dark List Accent=
 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"71" Name=3D"Colorful Shading=
 Accent 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"72" Name=3D"Colorful List Ac=
cent 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"73" Name=3D"Colorful Grid Ac=
cent 5"/>
  <w:LsdException Locked=3D"false" Priority=3D"60" Name=3D"Light Shading Ac=
cent 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"61" Name=3D"Light List Accen=
t 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"62" Name=3D"Light Grid Accen=
t 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"63" Name=3D"Medium Shading 1=
 Accent 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"64" Name=3D"Medium Shading 2=
 Accent 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"65" Name=3D"Medium List 1 Ac=
cent 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"66" Name=3D"Medium List 2 Ac=
cent 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"67" Name=3D"Medium Grid 1 Ac=
cent 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"68" Name=3D"Medium Grid 2 Ac=
cent 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"69" Name=3D"Medium Grid 3 Ac=
cent 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"70" Name=3D"Dark List Accent=
 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"71" Name=3D"Colorful Shading=
 Accent 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"72" Name=3D"Colorful List Ac=
cent 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"73" Name=3D"Colorful Grid Ac=
cent 6"/>
  <w:LsdException Locked=3D"false" Priority=3D"19" QFormat=3D"true"
   Name=3D"Subtle Emphasis"/>
  <w:LsdException Locked=3D"false" Priority=3D"21" QFormat=3D"true"
   Name=3D"Intense Emphasis"/>
  <w:LsdException Locked=3D"false" Priority=3D"31" QFormat=3D"true"
   Name=3D"Subtle Reference"/>
  <w:LsdException Locked=3D"false" Priority=3D"32" QFormat=3D"true"
   Name=3D"Intense Reference"/>
  <w:LsdException Locked=3D"false" Priority=3D"33" QFormat=3D"true" Name=3D=
"Book Title"/>
  <w:LsdException Locked=3D"false" Priority=3D"37" SemiHidden=3D"true"
   UnhideWhenUsed=3D"true" Name=3D"Bibliography"/>
  <w:LsdException Locked=3D"false" Priority=3D"39" SemiHidden=3D"true"
   UnhideWhenUsed=3D"true" QFormat=3D"true" Name=3D"TOC Heading"/>
 </w:LatentStyles>
</xml><![endif]--><!--[if !mso]><object
 classid=3D"clsid:38481807-CA0E-42D2-BF39-B33AF135CC4D" id=3Dieooui></objec=
t>
<style>
st1\:*{behavior:url(#ieooui) }
</style>
<![endif]-->
<style>
<!--
 /* Font Definitions */
 @font-face
	{font-family:"Cambria Math";
	panose-1:2 4 5 3 5 4 6 3 2 4;
	mso-font-charset:1;
	mso-generic-font-family:roman;
	mso-font-format:other;
	mso-font-pitch:variable;
	mso-font-signature:0 0 0 0 0 0;}
@font-face
	{font-family:Tahoma;
	panose-1:2 11 6 4 3 5 4 4 2 4;
	mso-font-charset:0;
	mso-generic-font-family:swiss;
	mso-font-pitch:variable;
	mso-font-signature:1627400839 -2147483648 8 0 66047 0;}
 /* Style Definitions */
 p.MsoNormal, li.MsoNormal, div.MsoNormal
	{mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-parent:"";
	margin:0in;
	margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:12.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";}
p.MsoAcetate, li.MsoAcetate, div.MsoAcetate
	{mso-style-unhide:no;
	mso-style-link:"Balloon Text Char";
	margin:0in;
	margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:8.0pt;
	font-family:"Tahoma","sans-serif";
	mso-fareast-font-family:"Times New Roman";}
p.NormalText, li.NormalText, div.NormalText
	{mso-style-name:"Normal Text";
	mso-style-unhide:no;
	mso-style-parent:"";
	margin:0in;
	margin-bottom:.0001pt;
	mso-pagination:none;
	mso-layout-grid-align:none;
	text-autospace:none;
	font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	color:black;}
span.BalloonTextChar
	{mso-style-name:"Balloon Text Char";
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Balloon Text";
	mso-ansi-font-size:8.0pt;
	mso-bidi-font-size:8.0pt;
	font-family:"Tahoma","sans-serif";
	mso-ascii-font-family:Tahoma;
	mso-hansi-font-family:Tahoma;
	mso-bidi-font-family:Tahoma;}
.MsoChpDefault
	{mso-style-type:export-only;
	mso-default-props:yes;
	font-size:10.0pt;
	mso-ansi-font-size:10.0pt;
	mso-bidi-font-size:10.0pt;}
@page Section1
	{size:8.5in 11.0in;
	margin:.25in 1.25in 1.0in 1.25in;
	mso-header-margin:.5in;
	mso-footer-margin:.5in;
	mso-paper-source:0;}
div.Section1
	{page:Section1;}
-->
</style>
<!--[if gte mso 10]>
<style>
 /* Style Definitions */
 table.MsoNormalTable
	{mso-style-name:"Table Normal";
	mso-tstyle-rowband-size:0;
	mso-tstyle-colband-size:0;
	mso-style-noshow:yes;
	mso-style-priority:99;
	mso-style-qformat:yes;
	mso-style-parent:"";
	mso-padding-alt:0in 5.4pt 0in 5.4pt;
	mso-para-margin:0in;
	mso-para-margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:10.0pt;
	font-family:"Times New Roman","serif";}
</style>
<![endif]--><!--[if gte mso 9]><xml>
 <o:shapedefaults v:ext=3D"edit" spidmax=3D"3074"/>
</xml><![endif]--><!--[if gte mso 9]><xml>
 <o:shapelayout v:ext=3D"edit">
  <o:idmap v:ext=3D"edit" data=3D"1"/>
 </o:shapelayout></xml><![endif]-->
</head>

<body lang=3DEN-US style=3D'tab-interval:.5in'>

<div class=3DSection1>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><st1:place =
w:st=3D"on"><st1:PlaceName
 w:st=3D"on">Clayton</st1:PlaceName> <st1:PlaceName w:st=3D"on">State</st1:=
PlaceName>
 <st1:PlaceType w:st=3D"on">University</st1:PlaceType></st1:place></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Department =
of Natural
Sciences</p>

<p class=3DMsoNormal align=3Dright style=3D'text-align:right'><o:p>&nbsp;</=
o:p></p>

<p class=3DMsoNormal align=3Dright style=3D'text-align:right'>October 28, 2=
009</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Physics 111=
2 &#8211;
Quiz 5</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:p>&nbsp;=
</o:p></p>

<p class=3DMsoNormal style=3D'tab-stops:375.0pt'><span style=3D'mso-tab-cou=
nt:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
 </span></p>

<p class=3DMsoNormal>Name<span style=3D'mso-spacerun:yes'>&nbsp;
</span>___SOLUTION__________________________________</p>

<p class=3DMsoNormal style=3D'margin-left:24.1pt;text-indent:-24.1pt;mso-pa=
gination:
widow-orphan no-line-numbers'><span style=3D'color:black'><o:p>&nbsp;</o:p>=
</span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'color:blac=
k'>A
rectangular solid block made of carbon has sides of lengths 1.0 cm, 2.0 cm,=
 and
4.0 cm, lying along the <i style=3D'mso-bidi-font-style:normal'>x, y</i>, a=
nd <i
style=3D'mso-bidi-font-style:normal'>z</i> axes, respectively. Assume the
resistivity is <sub><!--[if gte vml 1]><v:shapetype id=3D"_x0000_t75"
 coordsize=3D"21600,21600" o:spt=3D"75" o:preferrelative=3D"t" path=3D"m@4@=
5l@4@11@9@11@9@5xe"
 filled=3D"f" stroked=3D"f">
 <v:stroke joinstyle=3D"miter"/>
 <v:formulas>
  <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/>
  <v:f eqn=3D"sum @0 1 0"/>
  <v:f eqn=3D"sum 0 0 @1"/>
  <v:f eqn=3D"prod @2 1 2"/>
  <v:f eqn=3D"prod @3 21600 pixelWidth"/>
  <v:f eqn=3D"prod @3 21600 pixelHeight"/>
  <v:f eqn=3D"sum @0 0 1"/>
  <v:f eqn=3D"prod @6 1 2"/>
  <v:f eqn=3D"prod @7 21600 pixelWidth"/>
  <v:f eqn=3D"sum @8 21600 0"/>
  <v:f eqn=3D"prod @7 21600 pixelHeight"/>
  <v:f eqn=3D"sum @10 21600 0"/>
 </v:formulas>
 <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 <o:lock v:ext=3D"edit" aspectratio=3D"t"/>
</v:shapetype><v:shape id=3D"_x0000_i1025" type=3D"#_x0000_t75" style=3D'wi=
dth:84.75pt;
 height:17.25pt' o:ole=3D"">
 <v:imagedata src=3D"Fall09.Phys1112.Quiz5.SolutionWeb_files/image001.wmz"
  o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D113 height=3D23
src=3D"Fall09.Phys1112.Quiz5.SolutionWeb_files/image002.gif" v:shapes=3D"_x=
0000_i1025"><![endif]></sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1025"
  DrawAspect=3D"Content" ObjectID=3D"_1319533251">
 </o:OLEObject>
</xml><![endif]-->Determine the resistance for current that passes through =
the
block in </span><span style=3D'mso-bidi-font-size:10.0pt'><o:p></o:p></span=
></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'mso-bidi-f=
ont-size:
10.0pt;mso-no-proof:yes'><!--[if gte vml 1]><v:shape id=3D"Picture_x0020_0"
 o:spid=3D"_x0000_i1026" type=3D"#_x0000_t75" alt=3D"fall09.phys1112.quiz6.=
bmp"
 style=3D'width:443.25pt;height:277.5pt;visibility:visible;mso-wrap-style:s=
quare'>
 <v:imagedata src=3D"Fall09.Phys1112.Quiz5.SolutionWeb_files/image003.png"
  o:title=3D"fall09.phys1112.quiz6"/>
</v:shape><![endif]--><![if !vml]><img width=3D591 height=3D370
src=3D"Fall09.Phys1112.Quiz5.SolutionWeb_files/image004.jpg"
alt=3Dfall09.phys1112.quiz6.bmp v:shapes=3D"Picture_x0020_0"><![endif]></sp=
an><span
style=3D'mso-bidi-font-size:10.0pt'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'mso-bidi-f=
ont-size:
10.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'mso-bidi-f=
ont-size:
10.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.5in;text-align:justify;text-inde=
nt:.5in'><span
style=3D'color:black'>a. The <i style=3D'mso-bidi-font-style:normal'>x</i>
direction,<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'color:blac=
k'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'color:blac=
k'>R =3D </span><span
style=3D'font-family:Symbol;color:black'>r</span><span style=3D'color:black=
'> L/A<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'color:blac=
k'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'color:blac=
k'>R<sub>x</sub>
=3D </span><span style=3D'font-family:Symbol;color:black'>r</span><span
style=3D'color:black'> a/(bc) =3D<span style=3D'mso-spacerun:yes'>&nbsp; </=
span>(3.00
x 10<sup>-5</sup> </span><span style=3D'font-family:Symbol;color:black'>W</=
span><span
style=3D'color:black'>-m) (0.01 m) / ((0.02 m)(0.04 m)) </span><span
style=3D'color:red'>=3D<span style=3D'mso-spacerun:yes'>&nbsp; </span>0.375=
 x 10<sup>-3</sup>
</span><span style=3D'font-family:Symbol;color:red'>W</span><span
style=3D'color:red'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'color:blac=
k'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;text-indent:.5in'><span
style=3D'mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.5in;text-align:justify;text-inde=
nt:.5in'><span
style=3D'color:black'>b. The <i style=3D'mso-bidi-font-style:normal'>y</i>
direction,<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.5in;text-align:justify;text-inde=
nt:.5in'><span
style=3D'color:black'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'color:blac=
k'>R<sub>y</sub>
=3D </span><span style=3D'font-family:Symbol;color:black'>r</span><span
style=3D'color:black'> b/(ac) =3D<span style=3D'mso-spacerun:yes'>&nbsp; </=
span>(3.00
x 10<sup>-5</sup> </span><span style=3D'font-family:Symbol;color:black'>W</=
span><span
style=3D'color:black'>-m) (0.02 m) / ((0.01 m)(0.04 m)) =3D<span
style=3D'mso-spacerun:yes'>&nbsp; </span></span><span style=3D'color:red'>1=
.50 x 10<sup>-3</sup>
</span><span style=3D'font-family:Symbol;color:red'>W</span><span
style=3D'color:black'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'color:blac=
k'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.5in;text-align:justify;text-inde=
nt:.5in'><span
style=3D'mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.5in;text-align:justify;text-inde=
nt:.5in'><span
style=3D'color:black'>c. The <i style=3D'mso-bidi-font-style:normal'>z</i>
direction.</span><span style=3D'mso-bidi-font-size:10.0pt'><o:p></o:p></spa=
n></p>

<p class=3DMsoNormal style=3D'text-align:justify;text-indent:.5in'><span
style=3D'mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'color:blac=
k'>R<sub>z</sub>
=3D </span><span style=3D'font-family:Symbol;color:black'>r</span><span
style=3D'color:black'> c/(ab) =3D<span style=3D'mso-spacerun:yes'>&nbsp; </=
span>(3.00
x 10<sup>-5</sup> </span><span style=3D'font-family:Symbol;color:black'>W</=
span><span
style=3D'color:black'>-m) (0.04 m) / ((0.01 m)(0.02 m)) =3D<span
style=3D'mso-spacerun:yes'>&nbsp; </span></span><span style=3D'color:red'>6=
.00 x 10<sup>-3</sup>
</span><span style=3D'font-family:Symbol;color:red'>W</span><span
style=3D'color:black'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'color:blac=
k'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;text-indent:.5in'><span
style=3D'mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;text-indent:.5in'><span
style=3D'color:black'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'color:blac=
k'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;text-indent:.5in'><span
style=3D'color:black'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;text-indent:.5in'><span
style=3D'color:black'><o:p>&nbsp;</o:p></span></p>

</div>

</body>

</html>

------=_NextPart_01CA6391.C02CF520
Content-Location: file:///C:/D9286902/Fall09.Phys1112.Quiz5.SolutionWeb_files/themedata.thmx
Content-Transfer-Encoding: base64
Content-Type: application/vnd.ms-officetheme
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------=_NextPart_01CA6391.C02CF520
Content-Location: file:///C:/D9286902/Fall09.Phys1112.Quiz5.SolutionWeb_files/colorschememapping.xml
Content-Transfer-Encoding: quoted-printable
Content-Type: text/xml

<?xml version=3D"1.0" encoding=3D"UTF-8" standalone=3D"yes"?>
<a:clrMap xmlns:a=3D"http://schemas.openxmlformats.org/drawingml/2006/main"=
 bg1=3D"lt1" tx1=3D"dk1" bg2=3D"lt2" tx2=3D"dk2" accent1=3D"accent1" accent=
2=3D"accent2" accent3=3D"accent3" accent4=3D"accent4" accent5=3D"accent5" a=
ccent6=3D"accent6" hlink=3D"hlink" folHlink=3D"folHlink"/>
------=_NextPart_01CA6391.C02CF520
Content-Location: file:///C:/D9286902/Fall09.Phys1112.Quiz5.SolutionWeb_files/image001.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz

H4sIAAAAAAAEC4WSPUsDQRCG353EfFwCHoIgVqeFXUKipPQHGFAkCYqdUQ4UPCMmINdZWaeWFPkR
drFIZaV1Cv9EChsJeM7MfaAm4MLdzjs7s/PM7k7eXh6hY2g5ZPJi9o8M2EjVDUBY1dUl/udJzDR/
ZAzEYygIAvWUzZp6qsRJahU0WqKK5NDQWmFrK7OMdXBOANisx2yN+Du1gHdOLEQxRey3exct/8YF
DpVgRuMvXuTRlwJIE+zWped2nQP3zml0vPY18CBsJV7P8bxt3ZuaInvlWH9wGlCtxHovJZtVkvhP
pS8n+kT1TkTgMLWM/wmMnsk0IZniNSOVatr1n15Iemn63lnnChR3IPOUTzkmHeUkf5LoQVb0caI3
0qKfEn3OucBuVO8X+YJ687wN5S3N8fKuC/LDV/GTtw6pfwu+WL11S29dfOHNz8hGVtWzvhNDtNn0
uz3XC/cqMX94BvwQNe4bNgL4T6oCAAA=

------=_NextPart_01CA6391.C02CF520
Content-Location: file:///C:/D9286902/Fall09.Phys1112.Quiz5.SolutionWeb_files/image002.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhcQAXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwBs
ABAAgAAAAAAAAAKghI+py+2fQoC02ovzzLz7r0jgSElbJFqnYTorYrakdrzn26RsDcT3gsPNVBFe
ZfVjBJUgH2a5M0alPSpLB2OGehssVZiDVrNj8hSs3aK6XfXZB7ZZuUAzuo4vnvXTi7x/lVd256aH
JPXXBxfH9yc2+FRoZ5XiddRoVqY450JHJ5SkOSGjQnpjGYaE6iITEyLSEqs5RFtLY4ubW6LL25tQ
AAA7

------=_NextPart_01CA6391.C02CF520
Content-Location: file:///C:/D9286902/Fall09.Phys1112.Quiz5.SolutionWeb_files/image003.png
Content-Transfer-Encoding: base64
Content-Type: image/png
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==

------=_NextPart_01CA6391.C02CF520
Content-Location: file:///C:/D9286902/Fall09.Phys1112.Quiz5.SolutionWeb_files/image004.jpg
Content-Transfer-Encoding: base64
Content-Type: image/jpeg
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------=_NextPart_01CA6391.C02CF520
Content-Location: file:///C:/D9286902/Fall09.Phys1112.Quiz5.SolutionWeb_files/oledata.mso
Content-Transfer-Encoding: base64
Content-Type: application/x-mso
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==

------=_NextPart_01CA6391.C02CF520
Content-Location: file:///C:/D9286902/Fall09.Phys1112.Quiz5.SolutionWeb_files/filelist.xml
Content-Transfer-Encoding: quoted-printable
Content-Type: text/xml; charset="utf-8"

<xml xmlns:o=3D"urn:schemas-microsoft-com:office:office">
 <o:MainFile HRef=3D"../Fall09.Phys1112.Quiz5.SolutionWeb.htm"/>
 <o:File HRef=3D"themedata.thmx"/>
 <o:File HRef=3D"colorschememapping.xml"/>
 <o:File HRef=3D"image001.wmz"/>
 <o:File HRef=3D"image002.gif"/>
 <o:File HRef=3D"image003.png"/>
 <o:File HRef=3D"image004.jpg"/>
 <o:File HRef=3D"oledata.mso"/>
 <o:File HRef=3D"filelist.xml"/>
</xml>
------=_NextPart_01CA6391.C02CF520--

